What is the Least Common Multiple of 22045 and 22053?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 22045 and 22053 is 486158385.
LCM(22045,22053) = 486158385
Least Common Multiple of 22045 and 22053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22045 and 22053, than apply into the LCM equation.
GCF(22045,22053) = 1
LCM(22045,22053) = ( 22045 × 22053) / 1
LCM(22045,22053) = 486158385 / 1
LCM(22045,22053) = 486158385
Least Common Multiple (LCM) of 22045 and 22053 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22045 and 22053. First we will calculate the prime factors of 22045 and 22053.
Prime Factorization of 22045
Prime factors of 22045 are 5, 4409. Prime factorization of 22045 in exponential form is:
22045 = 51 × 44091
Prime Factorization of 22053
Prime factors of 22053 are 3, 7351. Prime factorization of 22053 in exponential form is:
22053 = 31 × 73511
Now multiplying the highest exponent prime factors to calculate the LCM of 22045 and 22053.
LCM(22045,22053) = 51 × 44091 × 31 × 73511
LCM(22045,22053) = 486158385
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